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93C15 Systems governed by ordinary differential equations (93 articles)

• Bernal, Miguel; Sala, Antonio; González, Antonio: LMI-based nonlinear observer design for a class of nonlinear systems modeled with differential algebraic equations. (English). Kybernetika, vol. 61 (2025), issue 3, pp. 429-446
• Ortiz, Alberto; Quintana, Daniel; Estrada-Manzo, Victor; Bernal, Miguel: An LMI-based convex fault tolerant control of nonlinear descriptor systems via unknown input observers. (English). Kybernetika, vol. 60 (2024), issue 4, pp. 492-512
• Kamachkin, Alexander M.; Potapov, Dmitriy K.; Yevstafyeva, Victoria V.: Two-point oscillatory solutions to system with relay hysteresis and nonperiodic external disturbance. (English). Applications of Mathematics, vol. 69 (2024), issue 3, pp. 395-414
• Chen, Yipeng; Liu, Yicheng; Wang, Xiao: Flocking analysis for a generalized Motsch-Tadmor model with piecewise interaction functions and processing delays. (English). Applications of Mathematics, vol. 68 (2023), issue 1, pp. 51-73
• Kamachkin, Alexander M.; Potapov, Dmitriy K.; Yevstafyeva, Victoria V.: Continuous dependence on parameters and boundedness of solutions to a hysteresis system. (English). Applications of Mathematics, vol. 67 (2022), issue 1, pp. 65-80
• Yang, Kun Yi; An, Chun Xia: Stability analysis of the five-dimensional energy demand-supply system. (English). Kybernetika, vol. 57 (2021), issue 5, pp. 750-775
• Rehák, Branislav: A numerical method for the solution of the nonlinear observer problem. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 21-26, 2020. Institute of Mathematics CAS, Prague, 2021. pp. 110-119
• Rodríguez-Cortés, H.: A swinging up controller for the Furuta pendulum based on the Total Energy Control System approach. (English). Kybernetika, vol. 55 (2019), issue 2, pp. 402-421
• S. Muni, Vijayakumar; K. George, Raju: Controllability of linear impulsive matrix Lyapunov differential systems with delays in the control function. (English). Kybernetika, vol. 54 (2018), issue 4, pp. 664-698
• Ni, Wei; Wang, Xiaoli: Averaging approach to distributed convex optimization for continuous-time multi-agent systems. (English). Kybernetika, vol. 52 (2016), issue 6, pp. 898-913
• Zhang, Pengxiao; Wang, Jinhuan: Event-triggered observer-based tracking control for leader-follower multi-agent systems. (English). Kybernetika, vol. 52 (2016), issue 4, pp. 589-606
• Yang, Kun-Yi; Zhang, Ling-Li; Zhang, Jie: Stability analysis of a three-dimensional energy demand-supply system under delayed feedback control. (English). Kybernetika, vol. 51 (2015), issue 6, pp. 1084-1100
• Lan, Jianglin; Sun, Weijie; Peng, Yunjian: Constrained robust adaptive stabilization for a class of lower triangular systems with unknown control direction. (English). Kybernetika, vol. 50 (2014), issue 3, pp. 450-469
• Cernea, Aurelian: Derived cones to reachable sets of a nonlinear differential inclusion. (English). Mathematica Bohemica, vol. 139 (2014), issue 4, pp. 567-575
• Wang, Zhen; Sun, Wei; Wei, Zhouchao; Xi, Xiaojian: Dynamics analysis and robust modified function projective synchronization of Sprott E system with quadratic perturbation. (English). Kybernetika, vol. 50 (2014), issue 4, pp. 616-631
• Ni, Wei; Wang, Xiaoli; Xiong, Chun: Leader-following consensus of multiple linear systems under switching topologies: An averaging method. (English). Kybernetika, vol. 48 (2012), issue 6, pp. 1194-1210
• Wang, Jiankui; Zhang, Guoshan; Li, Hongyi: Adaptive control of uncertain nonholonomic systems in finite time. (English). Kybernetika, vol. 45 (2009), issue 5, pp. 809-824
• Li, Qin; Jiang, Zhong-Ping: Flocking control of multi-agent systems with application to nonholonomic multi-robots. (English). Kybernetika, vol. 45 (2009), issue 1, pp. 84-100
• Rodríguez, Salvador A.; Dugard, Luc; Dion, Jean-Michel; León, Jesús de: On delay-dependent robust stability under model transformation of some neutral systems. (English). Kybernetika, vol. 45 (2009), issue 5, pp. 825-840
• Gui, Weihua; Chen, Ning; Zhai, Guisheng: Robust decentralized $H_2$ control of multi-channel descriptor systems with norm-bounded parametric uncertainties. (English). Kybernetika, vol. 45 (2009), issue 1, pp. 49-62
• Zhai, Guisheng; Chen, Ning; Gui, Weihua: A study on decentralized $H_\infty$ feedback control systems with local quantizers. (English). Kybernetika, vol. 45 (2009), issue 1, pp. 137-150
• Černý, Václav: Unifying approach to observer-filter design. (English). Kybernetika, vol. 45 (2009), issue 3, pp. 445-457
• Zhang, Lan; Zhang, Chengjian: Hopf bifurcation analysis of some hyperchaotic systems with time-delay controllers. (English). Kybernetika, vol. 44 (2008), issue 1, pp. 35-42
• Castillo-Toledo, Bernardino; Čelikovský, Sergej; Di Gennaro, S.: Generalized immersion and nonlinear robust output regulation problem. (English). Kybernetika, vol. 40 (2004), issue 2, pp. [207]-220
• Ntogramatzidis, Lorenzo: A simple solution to the finite-horizon LQ problem with zero terminal state. (English). Kybernetika, vol. 39 (2003), issue 4, pp. [483]-492
• Márquez-Martínez, Luis Alejandro; Moog, Claude H.: Trajectory tracking control for nonlinear time-delay systems. (English). Kybernetika, vol. 37 (2001), issue 4, pp. [370]-380
• Colaneri, Patrizio: Continuous-time periodic systems in $H_2$ and $H_\infty$. Part I: Theoretical aspects. (English). Kybernetika, vol. 36 (2000), issue 2, pp. [211]-242
• Klapka, Lubomír: Integrals and variational multipliers of second-order ordinary differential equations. (English). In: Slovák, Jan and Čadek, Martin (eds.): Proceedings of the 20th Winter School "Geometry and Physics". Circolo Matematico di Palermo, Palermo, 2001. pp. 129-131
• Möllers, Thomas: Fuzzy controller design based on stability criteria. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 7 (1999), issue 1, pp. 61-70
• van Laak, Oliver; Möllers, Thomas; Wenz, Hans-Jörg: Multi regional state space systems -- controller design and stability. (English). Acta Mathematica et Informatica Universitatis Ostraviensis, vol. 7 (1999), issue 1, pp. 47-60
• Kratz, Werner: Quadratic functionals: positivity, oscillation, Rayleigh's principle. (English). Archivum Mathematicum, vol. 34 (1998), issue 1, pp. 143-151
• Tornambè, Antonio: The tracking and regulation problem for a class of generalized systems. (English). Kybernetika, vol. 34 (1998), issue 6, pp. [635]-654
• Kučera, Vladimír: Transfer function equivalence of feedback/feedforward compensators. (English). Kybernetika, vol. 34 (1998), issue 6, pp. [610]-624
• Liu, Xiaoping; Kučera, Vladimír: Strong decoupling of descriptor systems via proportional state feedback. (English). Kybernetika, vol. 33 (1997), issue 4, pp. 371-386
• Tornambè, Antonio: On the analysis of periodic linear systems. (English). Kybernetika, vol. 32 (1996), issue 6, pp. 625-644
• Čelikovský, Sergej; Vaněček, Antonín: Bilinear systems and chaos. (English). Kybernetika, vol. 30 (1994), issue 4, pp. 403-424
• Papageorgiou, Nikolaos S.: Boundary value problems and periodic solutions for semilinear evolution inclusions. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 35 (1994), issue 2, pp. 325-336
• Vaněček, Antonín; Čelikovský, Sergej: Synthesis of chaotic systems. (English). Kybernetika, vol. 30 (1994), issue 5, pp. 537-542
• Zagalak, Petr; Lafay, Jean-François; Loiseau, Jean-Jacques: An approach to the Morgan problem. (English). Kybernetika, vol. 29 (1993), issue 5, pp. 423-430
• Geerts, Ton: Free end-point linear-quadratic control subject to implicit continuous- time systems: Necessary and sufficient conditions for solvability. (English). Kybernetika, vol. 29 (1993), issue 5, pp. 431-438
• Onwuatu, Jerry U.: Null controllability of nonlinear infinite neutral system. (English). Kybernetika, vol. 29 (1993), issue 4, pp. 325-338
• Konstantinov, M. M.; Petkov, P. Hr.; Christov, N. D.: Perturbation analysis of the discrete Riccati equation. (English). Kybernetika, vol. 29 (1993), issue 1, pp. 18-29
• Helmke, Uwe; Prechtel, Michael; Shayman, Mark A.: Riccati-like flows and matrix approximations. (English). Kybernetika, vol. 29 (1993), issue 6, pp. 563-582
• Ailon, A.: Errata: “An approach for pole assignment by gain output feedback in square singular systems” [Kybernetika (Prague) 27 (1991), no. 4, 317-332]. (English). Kybernetika, vol. 28 (1992), issue 6, pp. 512
• Zagalak, Petr; Kučera, Vladimír: Fundamental theorem of proportional state feedback for descriptor systems. (English). Kybernetika, vol. 28 (1992), issue 2, pp. 81-89
• Balachandran, K.; Balasubramaniam, P.: A note on controllability of nonlinear Volterra integrodifferential systems. (English). Kybernetika, vol. 28 (1992), issue 4, pp. 284-291
• Ailon, A.: An approach for pole assignment by gain output feedback in square singular systems. (English). Kybernetika, vol. 27 (1991), issue 4, pp. 317-332
• Christodoulou, Manolis A.: Decoupling in nonlinear singular systems with applications in autonomous vehicles. (English). Kybernetika, vol. 27 (1991), issue 4, pp. 306-316
• Hippe, Peter: Design of observer based compensators: The polynomial approach. (English). Kybernetika, vol. 27 (1991), issue 2, pp. 125-150
• Blanchini, Franco: Eigenvalue assignment via state observer for descriptor systems. (English). Kybernetika, vol. 27 (1991), issue 4, pp. 384-392
• Hippe, Peter: Parametrization of observer based compensators in the frequency domain. (English). Kybernetika, vol. 27 (1991), issue 4, pp. 362-370
• Lohmann, Boris: Partial decoupling of non-minimum phase systems by constant state feedback. (English). Kybernetika, vol. 27 (1991), issue 5, pp. 436-445
• Varga, Andras: Computation of irreducible generalized state-space realizations. (English). Kybernetika, vol. 26 (1990), issue 2, pp. 89-106
• Kárný, Miroslav; Nagy, Ivan; Böhm, Josef; Halousková, Alena: Design of spline-based self-tuners. (English). Kybernetika, vol. 26 (1990), issue 1, pp. 17-30
• Veselý, Vojtech: Decentralized control of linear dynamical systems with partial aggregation. (English). Kybernetika, vol. 25 (1989), issue 5, pp. 408-418
• Wyderka, Zdzisław: Linear time-optimal control problem with incomplete information about state. Optimization of guaranteed result. (English). Kybernetika, vol. 25 (1989), issue 1, pp. 26-34
• Jódar, Lucas; Navarro, E.: On the generalized Riccati matrix differential equation. Exact, approximate solutions and error estimate. (English). Aplikace matematiky, vol. 34 (1989), issue 6, pp. 429-438
• Balachandran, Krishnan: Controllability of a class of perturbed nonlinear systems. (English). Kybernetika, vol. 24 (1988), issue 1, pp. 61-64
• Čelikovský, Sergej: On the continuous dependence of trajectories of bilinear systems on controls and its applications. (English). Kybernetika, vol. 24 (1988), issue 4, pp. 278-292
• Boschková, Monika: Self-tuning controls of linear stochastic systems in presence of drift. (English). Kybernetika, vol. 24 (1988), issue 5, pp. 347-362
• Tumajer, František: Stability and boundedness of controllable continuous flows. (English). Aplikace matematiky, vol. 33 (1988), issue 6, pp. 493-504
• Mandl, Petr; Romera Ayllón, M. Rosario: On adaptive control of Markov processes. (English). Kybernetika, vol. 23 (1987), issue 2, pp. 89-103
• Čelikovský, Sergej: On the representation of trajectories of bilinear systems and its applications. (English). Kybernetika, vol. 23 (1987), issue 3, pp. 198-213
• Halická, Margaréta: Regular synthesis for the linear-convex optimal control problem with convex control constraints. (English). Mathematica Slovaca, vol. 37 (1987), issue 1, pp. 89-110
• Balachandran, K.; Somasundaram, D.: Controllability of nonlinear delay systems with delay depending on state variable. (English). Kybernetika, vol. 22 (1986), issue 5, pp. 439-444
• Andres, Ján: On the ``Poincaré-Lyapunov”-like systems of three differential equations. (English). Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, vol. 25 (1986), issue 1, pp. 165-180
• Petkovski, Djordjija: Suboptimal performance criterion sensitivity of large-scale decentralized control systems. (English). Kybernetika, vol. 22 (1986), issue 6, pp. 487-502
• Tvrdý, Milan: On optimal control of systems with interface side conditions. (English). In: Vosmanský, Jaromír and Zlámal, Miloš (eds.): Equadiff 6. Proceedings of the International Conference on Differential Equations and Their Applications held in Brno, Czechoslovakia, Aug. 26 - 30, 1985. J. E. Purkyně University, Department of Mathematics, Brno, 1986. pp. [187]-190
• Tuzar, Antonín: Optimal discrete approximation of continuous linear operators applicable to control problems. (English). Kybernetika, vol. 21 (1985), issue 4, pp. 287-297
• Petkovski, Djordjija: Robustness of decentralized control subject to nonlinear perturbation in the system dynamics. (English). Kybernetika, vol. 20 (1984), issue 6, pp. 473-482
• Balachandran, K.; Somasundaram, D.: Time optimal control of a second order nonlinear plant. (English). Kybernetika, vol. 20 (1984), issue 3, pp. 244-249
• Balachandran, K.; Somasundaram, D.: Bang-bang control of a second-order non-linear stable plant with fourth- order nonlinearity. (English). Kybernetika, vol. 19 (1983), issue 2, pp. 158-163
• Ježek, Jan: Conjugated and symmetric polynomial equations. I. Continuous-time systems. (English). Kybernetika, vol. 19 (1983), issue 2, pp. 121-130
• Ježek, Jan: Conjugated and symmetric polynomial equations. II. Discrete-time systems. (English). Kybernetika, vol. 19 (1983), issue 3, pp. 196-211
• Štěpán, Jaromír: Nonlinear approximation in control problems. (English). Kybernetika, vol. 19 (1983), issue 6, pp. 491-504
• Vakilzadeh, I.; Keshavarz, A. A.: Bang-bang control of a second-order non-linear stable plant with second-order nonlinearity. (English). Kybernetika, vol. 18 (1982), issue 1, pp. 66-71
• Klein, Petr; Doležal, Jaroslav; Hraba, Tomáš: Compartmental models of immunological tolerance. (English). Kybernetika, vol. 16 (1980), issue 3, pp. (285)-293
• Conti, R.: Control and the van der Pol equation. (English). In: Fábera, Jiří (ed.): Equadiff IV. Czechoslovak Conference on Differential Equations and Their Applications. Proceedings, Prague, August 22-26, 1977. Springer-Verlag, Berlin, 1979. pp. [73]-80
• Medveď, Milan: On a problem of evasion. (English). Kybernetika, vol. 13 (1977), issue 1, pp. (57)-62
• Zabczyk, Jerzy: A note on the exponential stability of a matrix Riccati equation of stochastic control. (English). Kybernetika, vol. 11 (1975), issue 3, pp. (218)-222
• Kroc, Ladislav: On the synthesis of adaptive multiparameter control systems by the Lyapunov method. (English). Kybernetika, vol. 11 (1975), issue 4, pp. (277)-286
• Jamshidi, M.; Razzaghi, M.: Optimization of linear systems with input time-delay. (English). Kybernetika, vol. 11 (1975), issue 5, pp. (375)-384
• Soukup, Václav: Linear nonstationary system with discrete-time input. (English). Kybernetika, vol. 9 (1973), issue 1, pp. (30)-41
• Kučera, Vladimír: A review of the matrix Riccati equation. (English). Kybernetika, vol. 9 (1973), issue 1, pp. (42)-61
• Sussmann, Héctor J.: The control problem $\dot x=(A(1-u)+Bu)x$: A comment on an article by J. Kučera. (English). Czechoslovak Mathematical Journal, vol. 22 (1972), issue 3, pp. 423-426
• Sussmann, Héctor J.: The control problem $\dot x=A(u)x$. (English). Czechoslovak Mathematical Journal, vol. 22 (1972), issue 3, pp. 490-494
• Markus, Lawrence: On a theorem of Brunovsky for periodic optimal control. (English). In: Ráb, Miloš and Vosmanský, Jaromír (eds.): Proceedings of Equadiff III. 3rd Czechoslovak Conference on Differential Equations and Their Applications. Brno, Czechoslovakia, August 28 - September 1, 1972. Univ. J. E. Purkyně - Přírodovědecká fakulta, Brno, 1973. pp. 59-69
• Sůva, Slavomír: Graphical analysis of first and second order pulse-width-modulated sampled-data regulator systems. (English). Kybernetika, vol. 7 (1971), issue 1, pp. (58)-76
• Uličný, Ján: Dekompozícia, koordinácia a agregácia v hierarchickom riadení mnohoúrovňových sústav. (Slovak) [Decomposition, coordination and agregation in the hierarchic control of multi-level systems]. Kybernetika, vol. 6 (1970), issue 6, pp. (463)-478
• Brunovský, Pavol: A classification of linear controllable systems. (English). Kybernetika, vol. 6 (1970), issue 3, pp. (173)-188
• Uličný, Ján: Dynamická optimalizácia riadenej mnohoparametrickej sústavy s ohraničením na riadiace aj riadené veličiny. (Slovak) [Dynamic optimization of controlled multi-parameter system with constraints imposed on both the controlled and the controlling]. Kybernetika, vol. 4 (1968), issue 1, pp. (41)-62
• Šindelář, Jaroslav: Odvození podmínek pro změnu struktury regulačního obvodu. (Czech) [The derivation of conditions for the change of the control system structure]. Kybernetika, vol. 2 (1966), issue 3, pp. (197)-214
• Conti, Roberto: Problems in linear control theory. (English). In: Šeda, Valter (ed.): Differential Equations and Their Applications. Proceedings of the Conference held in Bratislava in September 1966. Slovenské pedagogické nakladateľstvo, Bratislava, 1967. pp. 73-80