The complementary-slackness class of hybrid systems

DOI10.1007/BF02551330zbMath0862.93034OpenAlexW2112906954MaRDI QIDQ2565306

Johannes M. Schumacher, Arjan J. Van der Schaft

Publication date: 11 March 1997

Published in: MCSS. Mathematics of Control, Signals, and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02551330

zbMATH Keywords

Hamiltonian dynamicsMarkov parameterdiscrete eventsimpulsive solutionshybrid differential-algebraic systemslinear complementary slackness systems

Mathematics Subject Classification ID

Linear systems in control theory (93C05) Hamilton's equations (70H05) Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) (93C30)

Related Items (32)

Observability of Linear Differential-Algebraic Systems: A Survey ⋮ Modeling Perspectives of Hybrid Systems and Network Systems ⋮ Impulsive-smooth behavior in multimode systems. I: State-space and polynomial representations ⋮ Theory of index-one nonlinear complementarity systems ⋮ Well-posedness, stability and invariance results for a class of multivalued Lur'e dynamical systems ⋮ The linear dynamic complementarity problem is a special case of the extended linear complementarity problem ⋮ When is a linear complementarity system disturbance decoupled? ⋮ Robust stabilization of linear differential inclusions with affine uncertainty ⋮ On ``P property and the column-W property ⋮ A subspace approach to linear dynamical systems ⋮ Complementarity Systems in Constrained Steady-State Optimal Control ⋮ Switched nonlinear differential algebraic equations: solution theory, Lyapunov functions, and stability ⋮ On solution concepts and well-posedness of linear relay systems. ⋮ Compositionality issues in discrete, continuous, and hybrid systems ⋮ On the existence, uniqueness and nature of Carathéodory and Filippov solutions for bimodal piecewise affine dynamical systems ⋮ On tracking control of a class of complementary-slackness hybrid mechanical systems ⋮ Observer-based control of linear complementarity systems ⋮ Passivity and complementarity ⋮ Reorientation of linear switched systems using state feedback ⋮ Higher order Moreau's sweeping process: mathematical formulation and numerical simulation ⋮ Homogeneous feedback design of differential inclusions based on control Lyapunov functions ⋮ Controllability of Linear Differential-Algebraic Systems—A Survey ⋮ Port-Hamiltonian Differential-Algebraic Systems ⋮ Direct adaptive control design for one-degree-of-freedom complementary-slackness jugglers ⋮ On linear passive complementarity systems ⋮ The complementarity class of hybrid dynamical systems ⋮ Existence of Periodic Orbits with Zeno Behavior in Completed Lagrangian Hybrid Systems ⋮ Dynamical Systems Coupled with Monotone Set-Valued Operators: Formalisms, Applications, Well-Posedness, and Stability ⋮ Modeling and algorithm on a class of mechanical systems with unilateral constraints ⋮ Projected dynamical systems in a complementarity formalism ⋮ Positive feedback stabilization of centrifugal compressor surge ⋮ Observer for differential inclusion systems with incremental quadratic constraints

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