Nonlinear Control Analysis on Nonholonomic Dynamic Systems with Affine Constraints. - Tatsuya Kai; Hidenori Kimura; Shinji Hara (CDC/ECC, 2005)

Extended Chained Forms and Their Application to Nonholonomic Kinematic Systems with Affine Constraints: Control of a Coin on a Rotating Table. - Tatsuya Kai (CDC, 2006)

Generalized canonical transformations and passivity-based control for Nonholonomic Hamiltonian systems with affine constraints: Control of a coin on a rotating table. - Tatsuya Kai (CDC, 2007)

A model predictive control approach to attitude stabilization and trajectory tracking control of a 3D universal joint space robot with an initial angular momentum. - Tatsuya Kai (CDC/ECC, 2011)

A limit cycle synthesis method of multi-modal and 2-dimensional piecewise affine systems. - Tatsuya Kai; Ryo Masuda (CDC/ECC, 2011)

A gait generation method for the compass-type biped robot on slopes via discrete mechanics. - Tatsuya Kai; Takeshi Shintani (CDC/ECC, 2011)

Integrating Algorithms for Integrable Affine Constraints. - Tatsuya Kai (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2011)

Transformation and Chained Structure for a Class of Nonlinear Affine Control Systems. - Tatsuya Kai (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2011)

New hamiltonian formulation of rheonomous affine constraints based on the rheonomous bracket. - Tatsuya Kai (CCA, 2012)

Gait generation on periodically unlevel grounds for the compass-type biped robot via discrete mechanics. - Tatsuya Kai; Takeshi Shintani (CCA, 2012)

Control of the Cart-Pendulum System Based on Discrete Mechanics - Part I: Theoretical Analysis and Stabilization Control -. - Tatsuya Kai (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2012)

Control of the Cart-Pendulum System Based on Discrete Mechanics - Part II: Transformation to Continuous-Time Inputs and Experimental Verification -. - Tatsuya Kai; Kensuke Bito; Takeshi Shintani (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2012)

Limit cycle synthesis of multi-modal and 2-dimensional piecewise affine systems. - Tatsuya Kai; Ryo Masuda (Math. Comput. Model., 2012)

Limit-cycle-like control for 2-dimensional discrete-time nonlinear control systems and its application to the Hénon map. - Tatsuya Kai (Commun. Nonlinear Sci. Numer. Simul., 2013)

A new discrete mechanics approach to swing-up control of the cart-pendulum system. - Tatsuya Kai; Kensuke Bito (Commun. Nonlinear Sci. Numer. Simul., 2014)

Development of Discrete Mechanics for Distributed Parameter Mechanical Systems and Its Application to Vibration Suppression Control of a String. - Tatsuya Kai; Kouhei Yamaki; Shunpei Koike (ICINCO (1), 2016)

A Limit Cycle Control Method for Multi-modal and 2-dimensional Piecewise Affine Systems - State Feedback Control Case. - Tatsuya Kai (ECC, 2018)

Derivation and Mathematical Analysis of Piecewise Affine Oscillators with Desired Polygonal Limit Cycles. - Tatsuya Kai; Shingo Chiku; Koushi Maehara (ECC, 2019)

A Data-Driven Gain Tuning Method for Automatic Hovering Control of Multicopters via Just-in-Time Modeling. - Tatsuya Kai; Ryouhei Kakurai (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2023)

A Data-Driven Control Approach to Automatic Path Following for a Car Model Based on Just-in-Time Modeling. - Tatsuya Kai; Mayu Nobumiya (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2023)

Design and Analysis of Piecewise Nonlinear Oscillators with Circular-Type Limit Cycles. - Tatsuya Kai; Koshi Maehara (IEICE Trans. Fundam. Electron. Commun. Comput. Sci., 2023)